2. Sid and Nancy are marketing managers for competing running shoe companies. They are comparing their annual profit equations in tems of the number of pairs of shoes manufactured and sold. Sid's equation is P = -6n? + 72n- 192. Nancy's equation is P = -8n2 + 40n- 32. In both equations, P is the profit, in thousands of dollars, and n is the number of pairs of shoes manufactured and sold, in thousands. a) Compare the companies in terms of maximum profit, the number of pairs of shoes manufactured to reach the maximum profit, and the break-even points (when each company's profit is zero dollars). b) Choose either Sid or Nancy's equation. Using vertex form, describe the transformations of their Profit equation.
2. Sid and Nancy are marketing managers for competing running shoe companies. They are comparing their annual profit equations in tems of the number of pairs of shoes manufactured and sold. Sid's equation is P = -6n? + 72n- 192. Nancy's equation is P = -8n2 + 40n- 32. In both equations, P is the profit, in thousands of dollars, and n is the number of pairs of shoes manufactured and sold, in thousands. a) Compare the companies in terms of maximum profit, the number of pairs of shoes manufactured to reach the maximum profit, and the break-even points (when each company's profit is zero dollars). b) Choose either Sid or Nancy's equation. Using vertex form, describe the transformations of their Profit equation.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:2. Sid and Nancy are marketing managers for competing running shoe companies. They are
comparing their annual profit equations in tems of the number of pairs of shoes
manufactured and sold. Sid's equation is P= -6n² + 72n - 192. Nancy's equation is P =
-8n? + 40n -32. In both equations, P is the profit, in thousands of dollars, and n is the
number of pairs of shoes manufactured and sold, in thousands.
a) Compare the companies in terms of maximum profit, the number of pairs of shoes
manufactured to reach the maximum profit, and the break-even points (when each
company's profit is zero dollars).
b) Choose either Sid or Nancy's equation. Using vertex form, describe the transformations
of their Profit equation.
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